983616 has 56 divisors (see below), whose sum is σ = 2682240. Its totient is φ = 317952.

The previous prime is 983597. The next prime is 983617. The reversal of 983616 is 616389.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983616.

It is not an unprimeable number, because it can be changed into a prime (983617) by changing a digit.

983616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8970 + ... + 9078.

2⁹⁸³⁶¹⁶ is an apocalyptic number.

983616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341120).

983616 is an abundant number, since it is smaller than the sum of its proper divisors (1698624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

983616 is a wasteful number, since it uses less digits than its factorization.

983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 983616 is about 991.7741678427. The cubic root of 983616 is about 99.4508566019.

The spelling of 983616 in words is "nine hundred eighty-three thousand, six hundred sixteen".